(REF ) was proved in [1]} for \(k\in \mathbb {N}\) , \(1<p<\infty \) , \(W\in A_{p}\)  and \(\varphi \left( x\right) =x^{p}\) . For \(1<p<\infty \) , \(W\in A_{p}\)  and \(\varphi \left( x\right) =x^{p}\)  see [2]}, [3]}. In
case \(1<p<\infty \) , \(W\in A_{p}\)  and convex \(\varphi \left( x\right) \)  see
also [4]}.
